Sketch the curve , indicating the coordinates of the turning point and the exact values of the x-intercepts.

I am able to deduce the coordinates of the turning point, but how do we calculate the values of the x-intercepts?

According to my calculation, the coordinates of the turning point are (1, -1).

The x intercepts are simply the roots of the function. So set and solve for x.

As far as the turning point is concerned, if we have a quadratic function then the line of symmetry is . The vertex is either the lowest (when a is positive) or the highest (when a is negative) point on the parabola.